- 作 者：（美）奇尔德雷斯（Childress N）著
- 出 版 社：世界图书出版公司北京公司
- 出版年份：2014
- ISBN：751007021X
- 标注页数：226 页
- PDF页数：237 页
请阅读订购服务说明与试读!
订购服务说明
1、本站所有的书默认都是PDF格式，该格式图书只能阅读和打印，不能再次编辑。
2、除分上下册或者多册的情况下，一般PDF页数一定要大于标注页数才建议下单购买。【本资源237 ≥226页】
图书下载及付费说明
1、所有的电子图书为PDF格式，支持电脑、手机、平板等各类电子设备阅读；可以任意拷贝文件到不同的阅读设备里进行阅读。
2、电子图书在提交订单后一般半小时内处理完成,最晚48小时内处理完成。(非工作日购买会延迟)
3、所有的电子图书都是原书直接扫描方式制作而成。
1 A Brief Review 1
1 Number Fields 1
2 Completions of Number Fields 8
3 Some General Questions Motivating Class Field Theory 14
2 Dirichlet's Theorem on Primes in Arithmetic Progressions 17
1 Characters of Finite Abelian Groups 17
2 Dirichlet Characters 20
3 Dirichlet Series 30
4 Dirichlet's Theorem on Primes in Arithmetic Progressions 35
5 Dirichlet Density 40
3 Ray Class Groups 45
1 The Approximation Theorem and Infinite Primes 45
2 Ray Class Groups and the Universal Norm Index Inequality 47
3 The Main Theorems of Class Field Theory 60
4 The Idèlic Theory 63
1 Places of a Number Field 64
2 A Little Topology 66
3 The Group of Idèles of a Number Field 68
4 Cohomology of Finite Cyclic Groups and the Herbrand Quotient 75
5 Cyclic Galois Action on Idèles 83
5 Artin Reciprocity 105
1 The Conductor of an Abelian Extension of Number Fields and the Artin Symbol 105
2 Artin Reciprocity 111
3 An Example:Quadratic Reciprocity 128
4 Some Preliminary Results about the Artin Map on Local Fields 130
6 The Existence Theorem,Consequences and Applications 135
1 The Ordering Theorem and the Reduction Lemma 136
2 Kummer n-extensions and the Proof of the Existence Theorem 139
3 The Artin Map on Local Fields 148
4 The Hilbert Class Field 153
5 Arbitrary Finite Extensions of Number Fields 159
6 Infinite Extensions and an Alternate Proof of the Existence Theorem 162
7 An Example:Cyclotomic Fields 168
7 Local Class Field Theory 181
1 Some Preliminary Facts About Local Fields 182
2 A Fundamental Exact Sequence 186
3 Local Units Modulo Norms 191
4 One-Dimensional Formal Group Laws 195
5 The Formal Group Laws of Lubin and Tate 198
6 Lubin-Tate Extensions 201
7 The Local Artin Map 210
Bibliography 219
Index 223